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Kate Hudson has called Kurt Russell 'dad' for years, but her biological father exclusively tells RadarOnline.com it's "really painful" to hear his daughter refer to another man as her dad.

"At first it was okay when everybody was getting along, but there were certain things I didn't like. I didn't like that Goldie wanted the kids to call Kurt 'pa,'" Kate's father Bill Hudson told us in an exclusive interview.

"It was very confusing to the kids, particularly Kate, and that was really painful."

"Kurt is my dad," Kate told Vanity Fair in a past interview. "Kurt is a savior who came into my life. [Bill] was sort of in and out of our lives. I don't hate him for it. I guess what I feel is frustration and curiosity — like, what was it about me he didn't want to know?"

But Bill — who has been estranged from his children with ex-wife Goldie Hawn since their divorce in 1980, besides sporadic reconciliations — says he doesn't blame Kurt and is actually glad that a good man came into Kate and Oliver Hudson's life.

"Kurt has been there for her and I'm happy for that and I think it's a good thing. Kurt's a really good guy. What's more hurtful is Kate saying publicly that I've abandoned her because that's just not true," Bill said.

"It is not a trashy tell-all. It's my side of what happened and it's backed with facts and Goldie's own words and Kate's own words and my words and feelings," Bill explained.

"The record needs to be set and it needs to come out. I wanted to show that it was a love story between me and Goldie, enough that we had children together, and it just went awry. And it was Oliver and Kate that suffered in the end."

Kate Hudson's biological father, Bill Hudson, wants to make amends with his children, and RadarOnline.com has exclusively learned that he's eager to meet his two grandchildren.

"I haven't met any of my grandchildren, but I'd like to meet them one day," Bill told RadarOnline.com in an exclusive interview.

"I hope to make amends."

"The book in some ways is an apology to Oliver and Kate," Bill explained of his new tell-all book, Two Versions: The Other Side of Fame and Family.

I feel bad that she has those feelings...I can imagine how having a parent abandon you makes you question your self-worth, etc. Even though Kurt is in her life as a father-figure, she still carries that thought with her.

It is but I know what she means. My dad gave up his rights to me when I was 6 - last thing he ever said was "don't call me daddy anymore." Then he popped up when I was 16 with open arms and I was like, um. no. I've always wondered how he could give me away after spending the first 6 years of my life with me. I've come to realize that's it's his loss - I'm pretty fuckin' awesome.

It's my side of what happened and it's backed with facts and Goldie's own words and Kate's own words and my words and feelings,

No, Bill, it's going to be what you claim are their own words in a story told from your perspective. Huuuuuuuuuge difference.

I will never understand people who write these tell alls and then claim it's a way of trying to make amends/mend bridges. What exactly about airing dirty laundry to the word and selling them out is supposed to strike them as remorse?

I don't even like Kate Hudson, but this just makes me feel bad for her. It's not - I repeat, NOT - classy to sell out your estranged kids to the national media just because you're butthurt over the fact that they have an adequate father figure in their lives who isn't you.